摘要
This paper aims at problems of structure in Eucliean space by using Cabri 3D. Cabri 3D is a Software to model these problems. Let us observe properties of structure more easily. And we exploit Cabri 3D to draw figures and design a drawing process. The problem of structure we discuss is the “transitivity of central projection” in three-dimensional space. Since not all triangles with Central Projection have transitivity, so we propose a sufficient condition and discuss some properties. We start from two-dimensional view to three-dimensional view. Further, we discuss locus of three triangles with Central Projection pairwisely.
關鍵字
中之投影參考文獻
[1] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.20-22
[2] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.175-158
[3] Coxeter, Harold Scott MacDonald (1969), Introduction to Geometry, New York: John Wiley & Sons
[4] Hilbert, David; Cohn-Vossen, Stephan (1952), Geometry and the Imagination, Chelsea, pp. 119–128
延伸閱讀
- Huang, S. Y. (2014). 基於分析邊緣視差之影像反光移除 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.00977
- Shen, Z. N. (2007). 使用個別像素位移的方法對表面細部效果的即時呈像 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1206200714113098
- 林沛鋒（2014）。偏光立體投影系統中影像品質的優化〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2014.03139
- 曾千倫（2008）。快速的透視投影不變性影像定位技術〔碩士論文，國立清華大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0016-0903200911351919
- Yeh, S. H. (2017). 球型全景影像的視圖內插 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0401201816090880